Jeans Mass Formula - Find Solution Now!

In summary, the Jeans Mass Formula is a mathematical equation used in astrophysics to calculate the minimum mass needed for a cloud of gas to collapse and form a star. It considers variables such as temperature, density, and pressure of the gas cloud. It is commonly used for studying the formation of stars and galaxies, but can also be applied to other systems. However, it is not always accurate as it does not account for all complexities of star formation and other factors can also affect the collapse of gas clouds.
  • #1
shounakbhatta
288
1
Jeans mass -- Formula

Hello,

I have gone through Wikipedia, but unable to get what is the formula for Jeans mass.

Any one help please.....

-- Shounak
 
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  • #2
Isn't wikipedias article on Jeans instability, length and mass enough?

Also remember that Jeans work was an early effort that has some problems, there are better models out there.
 
  • #3
Equate gravitational potential energy with kinetic energy of the gas for a given radius and density, and then find the mass from that.
 

1. What is the Jeans Mass Formula?

The Jeans Mass Formula is a mathematical equation that calculates the minimum mass required for a cloud of gas to collapse and form a star. It takes into account factors such as temperature, density, and pressure of the gas cloud.

2. How is the Jeans Mass Formula used in astrophysics?

The Jeans Mass Formula is used to study the formation of stars and galaxies in astrophysics. It helps scientists understand the conditions that are necessary for star formation and can also be applied to other systems, such as molecular clouds and dark matter halos.

3. What are the variables in the Jeans Mass Formula?

The variables in the Jeans Mass Formula include the density of the gas cloud, its temperature, the speed of sound in the gas, and the gravitational constant. These variables determine the critical mass needed for the gas cloud to collapse and form a star.

4. Can the Jeans Mass Formula be applied to all types of gas clouds?

The Jeans Mass Formula can be applied to any gas cloud that is in hydrostatic equilibrium, meaning that the forces of gravity and pressure are balanced. However, it is most commonly used for molecular clouds, which are the birthplaces of stars.

5. How accurate is the Jeans Mass Formula?

The Jeans Mass Formula is a simplified model and does not take into account all of the complexities of star formation. Therefore, it is not always accurate and should be used as a guide rather than an exact measurement. Other factors such as turbulence and magnetic fields can also affect the collapse of gas clouds.

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